English
Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces
Post-edited
Auteurs : Boysal, Arzu (Auteur de la Conférence)
CIRM (Editeur )
11B68 - Bernoulli and Euler numbers and polynomials
11M41 - Other Dirichlet series and zeta functions
14D20 - Algebraic moduli problems, moduli of vector bundles
17B20 - Simple, semisimple, reductive (super)algebras
32S22 - Relations with arrangements of hyperplanes
53D30 - Symplectic structures of moduli spaces
17B22 - Root systems
11M32 - Multiple Dirichlet series and zeta functions and multizeta values
CIRM (Editeur )
Résumé :
Using Szenes formula for multiple Bernoulli series, we explain how to compute Witten series associated to classical Lie algebras. Particular instances of these series compute volumes of moduli spaces of flat bundles over surfaces, and also certain multiple zeta values.
This is joint work with V. Baldoni and M. Vergne.
Keywords : multiple Bernoulli series; moduli spaces of flat connections; multiple zeta values
Codes MSC : This is joint work with V. Baldoni and M. Vergne.
Keywords : multiple Bernoulli series; moduli spaces of flat connections; multiple zeta values
11B68 - Bernoulli and Euler numbers and polynomials
11M41 - Other Dirichlet series and zeta functions
14D20 - Algebraic moduli problems, moduli of vector bundles
17B20 - Simple, semisimple, reductive (super)algebras
32S22 - Relations with arrangements of hyperplanes
53D30 - Symplectic structures of moduli spaces
17B22 - Root systems
11M32 - Multiple Dirichlet series and zeta functions and multizeta values
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 18/10/2018 Date de captation : 11/10/2018 Sous collection : Research talks arXiv category : Representation Theory ; Algebraic Geometry ; Computational Geometry Domaine : Number Theory ; Algebraic & Complex Geometry ; Lie Theory and Generalizations Format : MP4 (.mp4) - HD Durée : 00:54:37 Audience : Researchers Download : https://videos.cirm-math.fr/2018-10-11_Boysal.mp4 
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Informations sur la Rencontre
Nom de la rencontre : International workshop on geometric quantization and applications / Colloque international "Quantification géométrique et applications"Organisateurs de la rencontre : Ma, Xiaonan ; Meinrenken, Eckhard ; Paradan, Paul-Emile Dates : 08/10/2018 - 12/10/2018 Année de la rencontre : 2018 URL Congrès : https://conferences.cirm-math.fr/1867.html
Données de citation
DOI : 10.24350/CIRM.V.19463803Citer cette vidéo: Boysal, Arzu (2018). Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19463803 URI : http://dx.doi.org/10.24350/CIRM.V.19463803 |
Voir aussi
- [Multi angle] Homogeneous vector bundles over abelian varieties / Auteur de la Conférence Brion, Michel.
- [Multi angle] Poisson-Lie duality and Langlands duality via Bohr-Sommerfeld / Auteur de la Conférence Alekseev, Anton.
- [Multi angle] Quantum footprints of symplectic rigidity / Auteur de la Conférence Polterovich, Leonid.
- [Multi angle] Geometric quantization of toric and semitoric systems / Auteur de la Conférence Miranda, Eva.
Bibliographie
- Baldoni, V., Boysal, A., & Vergne, M. (2015). Multiple Bernoulli series and volumes of moduli spaces of flat bundles over surfaces. Journal of Symbolic Computation, 68(2), 27-60 - https://doi.org/10.1016/j.jsc.2014.09.002
